A Strong Coupling Scheme for Fluid-structure Interaction Problems with Dynamically Moving Boundaries in Viscous Incompressible Flows

In the present paper an embedded-boundary formulation that is applicable to fluid structure interaction problems is presented. The Navier-Stokes equations for incompressible flow are solved on a fixed grid which is not aligned with the body. A corotational formulation is used to describe the dynamics of a body that moves through the fixed grid undergoing large-angle/large-displacement rigid body motions. A strong coupling scheme is adopted, where the fluid and the structure are treated as elements of a single dynamical system, and all of the governing equations are integrated simultaneously and interactively in the timedomain. A demonstration of the accuracy and efficiency of the method will be given for a variety of fluid/structure interaction problems.